Uniform "density" of bezier segments
When one handle is longer than the other, you will get a speed discontinuity at that control vertex (the curve's derivative will be discontinuous in that point). That's how Bezier splines work. There's no way around it other than using different spline type.

The way to solve this is to use a tile-able rope mesh piece, like this:



Put an Array modifier on it to tile it to the curve length and a Curve modifier to fit it to the curve:



And you are done, even when the curve has discontinuity, the mesh does not. Don't forget to provide enough subdivisions on the curve (64) and on the mesh: